Half-diminished seventh chord

A 'half-diminished seventh chord is a tetrad comprising a root, a minor third, a diminished fifth, and a minor seventh.

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Half-diminished seventh chord

In just intonation

In the 7-limit:

• 5:6:7:9

In the 5-limit:

• 25:30:36:45
• 45:54:64:80
• 135:160:192:240
• 225:270:324:400

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